-(.5x-3)+4(x+5)=27.5

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Solution for -(.5x-3)+4(x+5)=27.5 equation: 


Simplifying
-1(0.5x + -3) + 4(x + 5) = 27.5

Reorder the terms:
-1(-3 + 0.5x) + 4(x + 5) = 27.5
(-3 * -1 + 0.5x * -1) + 4(x + 5) = 27.5
(3 + -0.5x) + 4(x + 5) = 27.5

Reorder the terms:
3 + -0.5x + 4(5 + x) = 27.5
3 + -0.5x + (5 * 4 + x * 4) = 27.5
3 + -0.5x + (20 + 4x) = 27.5

Reorder the terms:
3 + 20 + -0.5x + 4x = 27.5

Combine like terms: 3 + 20 = 23
23 + -0.5x + 4x = 27.5

Combine like terms: -0.5x + 4x = 3.5x
23 + 3.5x = 27.5

Solving
23 + 3.5x = 27.5

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-23' to each side of the equation.
23 + -23 + 3.5x = 27.5 + -23

Combine like terms: 23 + -23 = 0
0 + 3.5x = 27.5 + -23
3.5x = 27.5 + -23

Combine like terms: 27.5 + -23 = 4.5
3.5x = 4.5

Divide each side by '3.5'.
x = 1.285714286

Simplifying
x = 1.285714286

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